Finding the Third Proportional to 33,409 and 78,856

Step by Step Solution

1. Step 1: Write the proportion equation
   33,409 : 78,856 = 78,856 : x
2. Step 2: Convert to fraction form
   33,409/78,856 = 78,856/x
3. Step 3: Cross multiply
   33,409x = 78,856 × 78,856
4. Step 4: Simplify right side
   33,409x = 6,218,268,736
5. Step 5: Solve for x
   x = 6,218,268,736/33,409
6. Step 6: Final answer
   x = 186,125.56